LCM of 170, 474, 226, 978, 387
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 170, 474, 226, 978, 387 with the LCM of Two or More Numbers Calculator. Here we are teaching you two different methods through which you can calculate the LCM of 170, 474, 226, 978, 387. So, keep reading to learn more.
Given numbers are 170,474,226,978,387
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 170,474,226,978,387 is 95731094790.
Find LCM of 170,474,226,978,387 with Prime Factorization
| 2 | 170, 474, 226, 978, 387 |
| 3 | 85, 237, 113, 489, 387 |
| 85, 79, 113, 163, 129 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 85 x 79 x 113 x 163 x 129 = 95731094790
Therefore, the lowest common multiple of 170,474,226,978,387 is 95731094790.
LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}
Firstly, we have to find the product of all the numbers.
170 x 474 x 226 x 978 x 387 = 6892638824880
Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.
170 : 1, 2, 5, 10, 17, 34, 85, 170
474 : 1, 2, 3, 6, 79, 158, 237, 474
226 : 1, 2, 113, 226
978 : 1, 2, 3, 6, 163, 326, 489, 978
387 : 1, 3, 9, 43, 129, 387
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 170,474,226,978,387, is 1.
Now, the common factors can be found like this.
170:2x 5x 17
474:2x 3x 79
226:2x 113
978:2x 3x 163
387:3x 3x 43
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2x 2x 3x 3 = 72
Therefore, the value for common factors is 72.
Now that we have all the elements of the formula, we can plug them in to calculate the LCM.
LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}
LCM = 6892638824880/(1x72)
LCM = 6892638824880/72
LCM = 95731094790
Thus, we can understand that the LCM of 170,474,226,978,387 is 95731094790.
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FAQs on LCM of 170, 474, 226, 978, 387
1. What is the LCM of 170, 474, 226, 978, 387?
Answer: LCM of 170, 474, 226, 978, 387 is 95731094790.
2. How to calculate the LCM of 170, 474, 226, 978, 387?
The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 170, 474, 226, 978, 387.
3. What is the LCM formula?
The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.